Directions: Solve the following problems. Circle your answers. length = 7 cm. width = 4 cm. height = 3 cm

Transcription

1 length = 7 cm width = 4 cm height = 3 cm 2. Heidi has an odd number of stamps in her collection. The sum of the digits in the number of stamps she has is 12. The hundreds digit is three times the ones digit. If she has between 1,000 and 2,000 stamps in her collection, how many stamps does Heidi have? 3. Drew has 4 Algebra, 3 Calculus, 7 Statistics, 7 Graph Theory, and 4 Probability books. If Drew can only pick one of each book type, how many choices will Drew have? 4. 1.) When rolling a die what is the chance of rolling a six on one roll? 2.) Twice on two rolls? Answer 2 = Teachnology, Inc. All Rights Reserved. 1

2 length = 9 cm width = 6 cm height = 4 cm 2. In January, of the year 2000, my husband was eleven times as old as my son. In January of 2012, he will be three times as old as my son. How old was my son in January of 2000? 3. Two people were working on your car. One could complete the given job in six hours, but the new mechanic still took eight hours. They worked together for two hours, but then the first mechanic left to help another mechanic on a different job. How long will it take the new worker to finish your car? Teachnology, Inc. All Rights Reserved. 2

3 length = 12 cm width = 9 cm height = 5 cm 2. In three more years, Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now? 3. Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted the fence by himself and took 12 hours less than Tom did. How long did Bill and Tom take, when they were painting alone? 4. You roll two dice and observe the sum. What is the probability that you observe a 2 or a 12? Teachnology, Inc. All Rights Reserved. 3

4 length = 17 cm width = 12 cm height = 8 cm 2. A collection of 33 coins, consisting of nickels, dimes, and quarters, has a value of $3.30. If there are three times as many nickels as quarters, and one-half as many dimes as nickels, how many coins of each kind are there? 3. The $ placed into an investment account yielding 6% annual interest was left in the account for two years. How much interest would you get at the end of those two years? 4. You roll two dice and observe the sum. What is the probability that you observe a 7 or a 9? Teachnology, Inc. All Rights Reserved. 4

5 length = 14 cm width = 11 cm height = 6 cm 2. Twice the larger of two numbers is three more than five times the smaller. The sum of four times the larger number and three times the smaller number is 71. What are the numbers? 3. A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $ You roll two dice and observe the sum. What is the probability that you observe a number less than 4 or an odd number? Teachnology, Inc. All Rights Reserved. 5

6 length = 27 cm width = 21 cm height = 16 cm 2. The sum of two consecutive integers is 15. Find the numbers. 3. An item originally priced at $55.00 is marked 25% off. What is the sale price? 4. You roll two dice and observe the sum. What is the probability that you observe a number less than 4 and an odd number? Teachnology, Inc. All Rights Reserved. 6

7 length = 54 cm width = 47 cm height = 38 cm 2. A total of $6, is invested into two simple interest accounts. The annual simple interest rate on one account is 9%; on the second account, the annual simple interest rate is 6%. How much should be invested in each account so that both accounts earn the same amount of annual interest? 3. An item originally priced at $55.00 is marked 25% off. What is the sale price? 4. When I visit the local library, the probability that someone is reading the current issue of Sports Illustrated is 0.4. The probability that someone is reading Time is 0.3.The probability that at least one of these two magazines is being read by someone is 0.5. What is the probability that both magazines are being read? Teachnology, Inc. All Rights Reserved. 7

8 length = 42 cm width = 34 cm height = 28 cm 2. Ben takes 2 hours to wash 500 dishes, and Frank takes 3 hours to wash 450 dishes. How long will they take, working together, to wash 1,000 dishes? Well, Ben can do 250 dishes per hour, and Frank can do 150 dishes per hour. Working together, they can do = 400 dishes an hour. Then, fairly obviously, it will take two and a half hours for the two of them to wash 1,000 dishes. 3. An item originally priced at $ is marked 35% off. What is the sale price? 4. When I visit the local library, the probability that someone is reading the current issue of Sports Illustrated is 0.4. The probability that someone is reading Time is 0.3. The probability that at least one of these two magazines is being read by someone is 0.5. What is the probability that neither of the two is being read? Teachnology, Inc. All Rights Reserved. 8

9 length = 112 cm width = 98 cm height = 88 cm 2. A jug contains 4 red balls, 3 blue balls, and 2 green balls. Two balls are drawn randomly. What is the probability that both balls will be blue? 3. An item is marked down 75%. The sale price is $ What was the original price? 4. 1.) You are dealt 4 clubs from an ordinary deck of 52 cards. What is the probability that your next card is a club? 2.) If you are dealt two cards instead of one, what are your chances that exactly one of them is a club? Answer 2 = Teachnology, Inc. All Rights Reserved. 9

10 length = 125 cm width = 115 cm height = 105 cm 2. A jug contains 4 red balls, 3 blue balls, and 2 green balls. Two balls are drawn randomly. What is the probability that both balls will be red? 3. An item is marked down 47%. The sale price is $3.00. What was the original price? 4. Faith picks 3 cards from a deck of 52. What is the probability that all 3 cards are the same color? Teachnology, Inc. All Rights Reserved. 10